Get alerts:Exxon Mobil, Chevron, Occidental Petroleum, Valero Energy, and EOG Resources are the five Oil stocks to watch today, according to MarketBeat’s stock screener tool. Oil stocks are shares of companies involved in the exploration, production, refining or distribution of crude oil. Exxon Mobil (XOM)Exxon Mobil Corporation engages in the exploration and production of crude oil and natural gas in the United States and internationally. The company's Oil and Gas segment explores for, develops, and produces oil and condensate, natural gas liquids (NGLs), and natural gas. The company was formerly known as Enron Oil & Gas Company.